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Simplifying 32x2 + -18x + 27 = 0 Reorder the terms: 27 + -18x + 32x2 = 0 Solving 27 + -18x + 32x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. 0.84375 + -0.5625x + x2 = 0 Move the constant term to the right: Add '-0.84375' to each side of the equation. 0.84375 + -0.5625x + -0.84375 + x2 = 0 + -0.84375 Reorder the terms: 0.84375 + -0.84375 + -0.5625x + x2 = 0 + -0.84375 Combine like terms: 0.84375 + -0.84375 = 0.00000 0.00000 + -0.5625x + x2 = 0 + -0.84375 -0.5625x + x2 = 0 + -0.84375 Combine like terms: 0 + -0.84375 = -0.84375 -0.5625x + x2 = -0.84375 The x term is -0.5625x. Take half its coefficient (-0.28125). Square it (0.0791015625) and add it to both sides. Add '0.0791015625' to each side of the equation. -0.5625x + 0.0791015625 + x2 = -0.84375 + 0.0791015625 Reorder the terms: 0.0791015625 + -0.5625x + x2 = -0.84375 + 0.0791015625 Combine like terms: -0.84375 + 0.0791015625 = -0.7646484375 0.0791015625 + -0.5625x + x2 = -0.7646484375 Factor a perfect square on the left side: (x + -0.28125)(x + -0.28125) = -0.7646484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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